Atkin-Lehner |
2- 3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39330bl |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
5345909798400 = 29 · 37 · 52 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74138,7787481] |
[a1,a2,a3,a4,a6] |
Generators |
[245:1947:1] [-295:2127:1] |
Generators of the group modulo torsion |
j |
61817763688666201/7333209600 |
j-invariant |
L |
11.148722368105 |
L(r)(E,1)/r! |
Ω |
0.7343404533575 |
Real period |
R |
0.21086046058841 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110e2 |
Quadratic twists by: -3 |